{
  "id": "math/0305427",
  "version": "v1",
  "published": "2003-05-29T18:27:11.000Z",
  "updated": "2003-05-29T18:27:11.000Z",
  "title": "Nonsmooth analysis and Hamilton-Jacobi equations on Riemannian manifolds",
  "authors": [
    "Daniel Azagra",
    "Juan Ferrera",
    "Fernando Lopez-Mesas"
  ],
  "comment": "46 pages",
  "categories": [
    "math.DG",
    "math.AP"
  ],
  "abstract": "We establish some perturbed minimization principles, and we develop a theory of subdifferential calculus, for functions defined on Riemannian manifolds. Then we apply these results to show existence and uniqueness of viscosity solutions to Hamilton-Jacobi equations defined on Riemannian manifolds.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-05-29T18:27:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "49J52",
      "58E30"
    ],
    "keywords": [
      "riemannian manifolds",
      "nonsmooth analysis",
      "perturbed minimization principles",
      "subdifferential calculus",
      "viscosity solutions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 46,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......5427A"
    }
  }
}